Regents Exam Questions A2.A.22: Solving Radicals 7
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A2.A.22: Solving Radicals: Solve radical equations
1 The number of dogs, D, housed at a county animal shelter is modeled by the function
, where M is the number of months the shelter has been open. How many
months will it take for 74 dogs to be housed at the shelter?
2 The period of a pendulum (T), in seconds, is the length of time it takes for the pendulum to make
one complete swing back and forth. The formula
gives the period T for a pendulum
of length L in feet. If you want to build a grandfather clock with a pendulum that swings back
and forth once every 3 seconds, how long, to the nearest tenth of a foot, would you make the
pendulum?
3 A wrecking ball suspended from a chain is a type of pendulum. The relationship between the
rate of speed of the ball, R, the mass of the ball, m, the length of the chain, L, and the force, F, is
. Determine the force, F, to the nearest hundredth, when
,
, and
.
4 The lateral surface area of a right circular cone, s, is represented by the equation
,
where r is the radius of the circular base and h is the height of the cone. If the lateral surface area
of a large funnel is 236.64 square centimeters and its radius is 4.75 centimeters, find its height, to
the nearest hundredth of a centimeter.
Regents Exam Questions A2.A.22: Solving Radicals 7
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1 ANS:
18
PTS: 2
2 ANS:
7.3
REF: 080821b
PTS: 2
3 ANS:
65,797.36
REF: fall9923b
PTS: 2
4 ANS:
15.13
REF: 010323b
PTS: 4
REF: 080528b